Arithmetic Expression

Question 1 )          Simplify 63 + 33 


  A )  35      B) 36          c)  63             D) 6 4

Question 2  )    Simplify 43 + 43 + 43 + 43 + 32 + 32 + 3

 (A) 44 + 3 (B)42 + 36      (C)43(32)     (D) 26 + 3 6



Question 3)  Simplify    48 – 84
                                          -----------------
                                                   24 + 4 2

(              A)   1/25           (B) 2 2 (7)      (C)  27(15)





Explanation Question 1 )  Begin by breaking 6 down into its prime factors.
63 + 33 =
(2 x 3)3 + 33 =
Now each term contains (33). Factor it out.
(23)(33) + 33 =
33(23 + 1) =
33(9) =
33(32) = 35.

Explanation Question 2)   Factor 43 out of the first four terms and factor 32 out of the last three terms.
43 + 43 + 43 + 43 + 32 + 32 + 32 =
43(1 + 1 + 1 + 1) + 32(1 + 1 + 1) =
43(4) + 32(3) =
44 + 33



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